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Construction of a solution of a mixed problem for the generalized heat conduction equation by the fourier method
Authors:G P Kukhta
Institution:1. Appliance Manufacturing Institute, Sevastopol
Abstract:By the Fourier method a solution of the equation

$$\frac{{\partial u(x,t)}}{{\partial t}} = a(t)\sum\limits_{j,k = 1}^n {\frac{\partial }{{\partial x_j }}\left( {A_{jk} \frac{{\partial u(x,t)}}{{\partial x_k }}} \right)}  + b(t)\sum\limits_{j,k = 1}^n {\frac{\partial }{{\partial x_j }}\left( {B_{jk} \frac{{\partial u(x,t - \tau (t))}}{{\partial x_k }}} \right)} ,$$
Keywords:
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